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Research Topics for Spatial temporal processes Time Series:Time Series: nonlinear state space M. West (1996) In Bayesian Statistics 5, Oxford University.

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Presentation on theme: "Research Topics for Spatial temporal processes Time Series:Time Series: nonlinear state space M. West (1996) In Bayesian Statistics 5, Oxford University."— Presentation transcript:

1 Research Topics for Spatial temporal processes Time Series:Time Series: nonlinear state space M. West (1996) In Bayesian Statistics 5, Oxford University Press. Simulation methods A.C. Davison and D.V. Hinkley, "Bootstrap Methods and their Applications” Cambridge University Press 1997

2 Research Topics for Spatial temporal processes Gaussian process:Gaussian process: nonstationary covariances models (beyond EOFs) spatial-temporal models (beyond separable models) change of support problem (multi-scale) hierarchical modeling

3 Research Topics for Spatial temporal processes Non-Gaussian processes:Non-Gaussian processes: conditional distributions (Markov fields) permutation tests Reference: Mantel (1967) Spatial point processes:Spatial point processes: heterogeneous intensity multivariate spatial processes clustering (patterns] Reference: Diggle (1983).

4 Visualization Maps of dependency structure Maps of intensity function Uncertainty maps Statistical ensembles

5 Education/Crosstraining Smaller Workshops: Case studies Specific examples (have problems ahead of time for workshop instructor] Stat/Math faculty collaborating with geosciences groups

6 Computation Hierarchical methods Markov Chain Monte Carlo: simulate distribution (e.g. simulate mixing at different scales] Reference: “Markov Chain Monte Carlo in Practice”, Chapman & Hall, London. Gilks, Richardson, and Spiegelhalter (1996). Fast spherical Transform


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